Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity

DOI10.1142/S0219891615500162zbMath1331.35210arXiv1303.0950MaRDI QIDQ3451150

Vesselin Petkov, Enrico Bernardi, Antonio Bove

Publication date: 10 November 2015

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3113

zbMATH Keywords

energy estimatesCauchy problemtriple characteristicseffectively hyperbolic operators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items

Strictly hyperbolic Cauchy problems on \(\mathbb{R}^n\) with unbounded and singular coefficients, Diagonal symmetrizers for hyperbolic operators with triple characteristics, On some hyperbolic equations of third order, The Cauchy problem for operators with triple effectively hyperbolic characteristics: Ivrii's conjecture, Cauchy problem for effectively hyperbolic operators with triple characteristics, Global well-posedness of a class of strictly hyperbolic Cauchy problems with coefficients non-absolutely continuous in time, Energy estimates and global well-posedness for a broad class of strictly hyperbolic Cauchy problems with coefficients singular in time, Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane

Cites Work

• The Cauchy problem for effectively hyperbolic equations (a standard type)
• Local energy integrals for effectively hyperbolic operators. II
• The Cauchy problem for differential equations with double characteristics
• The Cauchy problem for effectively hyperbolic equations (general cases)
• Opérateurs hyperboliques à caractéristiques de multiplicité constante
• The correctness of the Cauchy problem